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Finding the Third Proportional to 3,943,893.80 and 6,058,305.14

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Solution

The third proportional to 3,943,893.80 and 6,058,305.14 is: 9,306,300.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,943,893.80 : 6,058,305.14 = 6,058,305.14 : x
  2. Step 2: Convert to fraction form
    3,943,893.80/6,058,305.14 = 6,058,305.14/x
  3. Step 3: Cross multiply
    3,943,893.80x = 6,058,305.14 × 6,058,305.14
  4. Step 4: Simplify right side
    3,943,893.80x = 36,703,061,176,923.30
  5. Step 5: Solve for x
    x = 36,703,061,176,923.30/3,943,893.80
  6. Step 6: Final answer
    x = 9,306,300.59

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.